Question

What is the order of rotational symmetry and angle of rotation symmetry for this design?

• A. $6,{60}^o$
• B. $3,{40}^o$
• C. $6,{75}^o$
• D. $9,{30}^o$

Answer 1

The correct option is A $6,{60}^{\circ }$

There are $12$ divisions in the given figure and hence measure (in degrees) of each division will be $\frac{{360}^{\circ }}{12}={30}^{\circ }$.

On rotating the given shape by ${60}^{\circ }$, the shape remains the same.

Thus the angle of rotation for the given shape is ${60}^{\circ }$.

Also, rotating the figure $6$ times, the shape remains the same on each turn and comes back to its original position.

Thus, the order of rotational symmetry of the given shape is $6$.